Jeans Instability in Classical and Modified Gravity

Abstract

Gravitational instability in classical Jeans theory, General Relativity, and modified gravity is considered. The background density increase leads to a faster growth of perturbations in comparison with the standard theory. The transition to the Newtonian gauge in the case of coordinate dependent background metric functions is studied. For modified gravity a new high frequency stable solution is found.

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Cited by in corpus (12)

• Extreme neutron stars from Extended Theories of Gravity
• Constraining $f(R)$ gravity by the Large Scale Structure
• Jeans analysis in energy-momentum-squared gravity
• Jeans Instability in a Universe with Dissipation
• Jupiter and jovian (exo)-planets in Palatini $f(\bar{R})$ gravity
• Using kinetic theory to examine a self-gravitating system composed of baryons and cold dark matter
• Reconstruction of f(R) gravity models from observations
• Gravitational instability in oscillating background
• Rigorous proof of slightly nonlinear Jeans instability in the expanding Newtonian universe
• Fully nonlinear gravitational instabilities for expanding Newtonian universes with inhomogeneous pressure and entropy: Beyond the Tolman's solution
• The K-essence flow seen from the preferred frame $S_V$. A scalar field theory with Landau superfluid structure
• The stability of the de-Sitter universe in nonlocal gravity